The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality

Abstract

In this work, we explore the hadronic coupling constants $G_{ZJ/\psi K}$, $G_{Z{\eta }_c{K}^{\ast }}$, $G_{Z{D}^{\ast }{\bar{D}}_s}$ of the exotic states $Z_{cs}(3985/4000)$ both in the pictures of the tetraquark states and molecular states with the tentative assignments $J^{PC}=1^{+-}$ based on the rigorous quark-hadron duality. Then we obtain the total widths ${\Gamma }_{Z_{cs}}^T=15.31\pm 2.06\mathrm{MeV}$ and ${\Gamma }_{Z_{cs}}^M=83.51\pm 21.09\mathrm{MeV}$, which are consistent with the experimental data $13.8_{-5.2}^{+8.1}\pm 4.9\mathrm{MeV}$ from the BESIII collaboration and $131\pm 15\pm 26\mathrm{MeV}$ from the LHCb collaboration, respectively, and support assigning the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ to be the hidden-charm tetraquark state and molecular state with the $J^{PC}=1^{+-}$, respectively.

Comments: 13 pages, 2 figures